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Researchers wanted to determine if there was an association between daily applea

ID: 3365350 • Letter: R

Question

Researchers wanted to determine if there was an association between daily

appleapple

consumption and the occurrence of

breast cancerbreast cancer.

The researchers looked at

94 comma 55994,559

women and asked them to report their

appleapple-eatingeating

habits. The researchers also determined which of the women had

IDC breast cancerIDC breast cancer.

After their analysis, the researchers concluded that consumption of

two or more servingstwo or more servings

of

Granny Smith applesGranny Smith apples

per day was associated with a reduction in

IDC breast cancerIDC breast cancer.

Complete parts (a) through (c) below.

(a) What type of observational study was this? Explain.

A.

This was a cohort study because it identified a group of individuals to participate in the study and observed the group over a long period of time.

B.

This was a cross-sectional study because all information about the individuals was collected at a specific point in time.

C.

This was a case-control study because individuals that had a certain characteristic were matched with those that did not.

(b) What is the response variable in the study? Is the response variable qualitative or quantitative? What is the explanatory variable?

What is the response variable in the study? Is the response variable qualitative or quantitative?

A.

The response variable is the number of individuals who participate in the study who

eateat

two or more servingstwo or more servings

of

Granny Smith applesGranny Smith apples

per day. The response variable is quantitative.

B.

The response variable is consumption of

Granny Smith applesGranny Smith apples.

The response variable is quantitative.

C.

The response variable is whether the woman has

IDC breast cancerIDC breast cancer

or not. The response variable is qualitative.

D.

The response variable is the number of individuals who participate in the study. The response variable is quantitative.

What is the explanatory variable?

A.

The explanatory variable is the number of individuals who participate in the study.

B.

The explanatory variable is the number of individuals who participate in the study who

eateat

two or more servingstwo or more servings

of

Granny Smith applesGranny Smith apples

per day.

C.

The explanatory variable is consumption of

Granny Smith applesGranny Smith apples.

D.

The explanatory variable is whether the woman has

IDC breast cancerIDC breast cancer

or not.(c) In their report, the researchers stated that "After adjusting for various demographic and lifestyle variables, daily consumption of

two or more servingstwo or more servings

was associated with a 30% reduced prevalence of

IDC breast cancerIDC breast cancer."

Why was it important to adjust for these variables?

A.

The researchers may be concerned with confounding that occurs when the effects of two or more explanatory variables are not separated or when there are some explanatory variables that were not considered in a study, but that affect the value of the response variable.

B.

The researchers wanted to ensure that the sample was large enough in order to perform inference.

C.

The researchers wanted to ensure that the study was representative of the entire population, so they were likely to adjust the responses to match actual data collected for the entire population.

D.

The researchers were sure that various demographic and lifestyle variables had greater influence than daily consumption of

two or more servingstwo or more servings.

Explanation / Answer

a) B.This was a cross-sectional study because all information about the individuals was collected at a specific point in time.

b) C.The response variable is whether the woman has IDC breast cancerIDC breast cancer or not. The response variable is qualitative.

C.The explanatory variable is consumption of Granny Smith apples.

c) A.The researchers may be concerned with confounding that occurs when the effects of two or more explanatory variables are not separated or when there are some explanatory variables that were not considered in a study, but that affect the value of the response variable.

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